Question

If R is the radius of the earth and g the acceleration due to gravity on the earth's surface, the mean density of the earth is​

Answer 1

Answer :

ρ = 3g/4πRG

Step-by-step Explanation :

Given : Radius of Earth = R

Acceleration due to gravity = g

To find : mean density = ?

Acceleration due to gravity is given by,

g = GM/R²

Mass of earth is given by M = 4ρπR³/3

Where, ρ is density of earth

g = 4/3 × GρπR³/R²

g = 4/3 × ρGπR

ρ = 3g/4πRG